دانشگاه سمنان

 آمار

تعداد نشریات21
تعداد شماره‌ها687
تعداد مقالات9,985
تعداد مشاهده مقاله70,957,416
تعداد دریافت فایل اصل مقاله62,422,663
Maghool, Firas, Radhy, Zainb. (1400). Some Properties of $\delta$-integral with respect $\delta-$ fuzzy Measure. هنرهای کاربردی, 12(2), 2571-2576. doi: 10.22075/ijnaa.2021.5411
Firas Hussean Maghool; Zainb Hassan Radhy. "Some Properties of $\delta$-integral with respect $\delta-$ fuzzy Measure". هنرهای کاربردی, 12, 2, 1400, 2571-2576. doi: 10.22075/ijnaa.2021.5411
Maghool, Firas, Radhy, Zainb. (1400). 'Some Properties of $\delta$-integral with respect $\delta-$ fuzzy Measure', هنرهای کاربردی, 12(2), pp. 2571-2576. doi: 10.22075/ijnaa.2021.5411
Maghool, Firas, Radhy, Zainb. Some Properties of $\delta$-integral with respect $\delta-$ fuzzy Measure. هنرهای کاربردی, 1400; 12(2): 2571-2576. doi: 10.22075/ijnaa.2021.5411

Some Properties of $\delta$-integral with respect $\delta-$ fuzzy Measure

International Journal of Nonlinear Analysis and Applications
دوره 12، شماره 2، بهمن 2021، صفحه 2571-2576    اصل مقاله (120.58 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.5411
نویسندگان
Firas Hussean Maghool1؛ Zainb Hassan Radhy* 2
1Department of Mathematics, College of Computer Science and Information Technology, University of Al-adisiyah, Iraq
2Department of Mathematics, College of Computer Science and Information Technology, University of Al-Qadisiyah, Iraq
تاریخ دریافت: 23 فروردین 1400،  تاریخ بازنگری: 07 تیر 1400،  تاریخ پذیرش: 23 تیر 1400 
چکیده
The $\delta$-integral with respect - $\delta$ - fuzzy measure has significant practical applications such as economic, data mining, etc. In this paper, we define $\delta$-fuzzy measure and studied the measurable function with respect to $\delta-$ fuzzy measure, also we defined an integration on a type of measurement, which is called the $\delta-$ integral because of its importance in many other applications, we studied the properties of this integration and proved some important theories, Besides that, the convergence theorems are studied and the obtained results are proved.
کلیدواژه‌ها
$sigma-$ algebra؛ measurable function؛ $boldsymbol{delta}-$ fuzzy measure؛ $boldsymbol{delta}$-integral
مراجع
[1] R. ASH, ” probability and Measure Theory” second edition, Academic press (2000).
[2] C. Borell,”Lecture notes in measure theory”, Chalmers and Gothenburg university ,January(2006)
[3] M.Grabisch,. “The application of fuzzy integrals in multicriteria decision making”. European Journal of Operational Research Vol.89, pp.445–456, (1996).
URL:http://dx.doi.org/10.1016/0377-2217(95) 00176-X
[4] J.L. Hougaard, H.Keiding,. “Representation of preferences on fuzzy measures by a fuzzy integral”. Mathematical
Social Sciences, 31, (1996), 1–17. URL:
http://dx.doi.org/10.1016/0165-4896(95) 00795-4.
[5] O. Kaleva, Fuzzy integral equations, Fuzzy sets and Systems, 24, (1987), 301-317.
[6] E.P.Klement and S.Weber, ” Generalized measures.fuzzy sets and systems”, 40, (1991), 375- 394.
[7] E.P. Klement, R.Mesiar,and E.pap. ”universal integral new dimensions in fuzzy logic and related technologic
proceeding of 5
th conference of the European society for fuzzy logic and technology (EUSFLAT 2007), OSTRAVA
(CZECH REPUBLIC), (2007), 253-256.
[8] G.M. Murofushi, T. Sugeno, “Fuzzy Measures and Integrals: Theory and Applications”. Physica-Verlag, Heidelberg
(2000).
[9] M.Sugeno, ”theory of fuzzy integrals and its application”, ph.D.dissertation,Tokyo institute of technology (1974).
[10] L.A. Zadeh, ”Fuzzy Set” Information and control ” , 8, (1965), 338-353.

آمار
تعداد مشاهده مقاله: 15,840
تعداد دریافت فایل اصل مقاله: 9,344


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب